78325930800 has 300 divisors, whose sum is σ = 302730606640. Its totient is φ = 19280125440.

The previous prime is 78325930777. The next prime is 78325930801. The reversal of 78325930800 is 803952387.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×78325930800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78325930801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 328221 + ... + 514179.

Almost surely, 2^78325930800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78325930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151365303320).

78325930800 is an abundant number, since it is smaller than the sum of its proper divisors (224404675840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78325930800 is a wasteful number, since it uses less digits than its factorization.

78325930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186002 (or 185982 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 78325930800 in words is "seventy-eight billion, three hundred twenty-five million, nine hundred thirty thousand, eight hundred".